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Finding the Fourth Proportional to 56,175.39, 77,522.10 and 31,024.89

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Solution

The fourth proportional to 56,175.39, 77,522.10 and 31,024.89 is: 42,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,175.39 : 77,522.10 = 31,024.89 : x
  2. Step 2: Convert to fraction form
    56,175.39/77,522.10 = 31,024.89/x
  3. Step 3: Cross multiply
    56,175.39x = 77,522.10 × 31,024.89
  4. Step 4: Simplify right side
    56,175.39x = 2,405,114,625.07
  5. Step 5: Solve for x
    x = 2,405,114,625.07/56,175.39
  6. Step 6: Final answer
    x = 42,814.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.